The average expenditure of the hotel when there are 15 guests is Rs. 70 per guests and the average expenditure is Rs. 50 when there are 25 Guests. If it is known that there are some fixed expenses irrespective of the number of guests then the average expenditure per guest when there are 75 guests in the hotel.

The average expenditure of the hotel when there are 15 guests is Rs. 70 per guests and the average expenditure is Rs. 50 when there are 25 Guests. If it is known that there are some fixed expenses irrespective of the number of guests then the average expenditure per guest when there are 75 guests in the hotel. Correct Answer Rs. 30

Lets assume f be the fixed expenditure and g be the fixed average expenditure per guest.

Total expenditure when there are 15 guests = f + 15g = 15 × 70 = 1050      ---- (1)

Total expenditure when there are 25 guests = f + 25g = 25 × 50 = 1250      ---- (2)

Now, subtracting eq. (2) from eq. (1)

\Rightarrow 10g = 200 \Rightarrow g = 20 and f = 750

So, the total expenditure when there are 75 guests = f + 75g = 750 + 75 × 20 = Rs. 2250

Thus, the average expenditure per guest when there are 75 guests = Rs. 2250/75 = Rs. 30

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